JEE Main & Advanced Mathematics Applications of Derivatives Rolle's Theorem

Rolle's Theorem

Category : JEE Main & Advanced

 If \[f(x)\]is such that,

 

(i) It is continuous in the closed interval  \[[a,\,\,b]\]

 

(ii) It is derivable in the open interval \[(a,\,b)\]

 

(iii) \[f(a)=f(b)\]

 

Then there exists at least one value \['c'\] of \[x\] in the open interval \[(a,\,\,b)\] such that \[f'(c)=0\].

 



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